Question

What is the standard form of a polynomial `(4x^2+2x+5)+(7x^2-5x+2)`?

Answer 1

The standard form would be `11x^2 - 3x + 7`.

Explanation:

Polynomial standard form simply means that you place the highest degree terms first, and simplify the polynomial by adding any coefficients in terms of the same degree. As a result you get:

`(4x^2+2x+5)+(7x^2-5x+2)`
`= (4+7)x^2 + (2-5)x + (5+2)`
`= 11x^2 - 3x + 7`